Let's evaluate each option to find a fraction that falls between \( \frac{2}{10} \) and \( \frac{7}{11} \).
First, we convert both \( \frac{2}{10} \) and \( \frac{7}{11} \) to decimal for easier comparison:
- \( \frac{2}{10} = 0.2 \)
- \( \frac{7}{11} \approx 0.6363 \) (by calculating \( 7 \div 11 \))
Now we have: \[ 0.2 < \text{fraction} < 0.6363 \]
Now, let's convert each option to decimal:
a. \( \frac{6}{13} \): \[ 6 \div 13 \approx 0.4615 \quad (True, \ 0.2 < 0.4615 < 0.6363) \]
b. \( \frac{9}{9} = 1 \): \[ 1 \quad (False, \ 0.2 < 1 \ is\ not\ true) \]
c. \( \frac{12}{13} \): \[ 12 \div 13 \approx 0.9231 \quad (False, \ 0.2 < 0.9231 \ is\ not\ true) \]
d. \( \frac{1}{10} \): \[ \frac{1}{10} = 0.1 \quad (False, \ 0.1 < 0.2 \ is\ not\ true) \]
Thus, the only fraction that makes the statement true is:
a. \( \frac{6}{13} \).